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96132720 = 24351812213
BaseRepresentation
bin1011011101011…
…01111001110000
320200220001022010
411232231321300
5144102221340
613312242520
72245054215
oct556557160
9220801263
1096132720
114a29aa32
1228240440
1316bbb488
14caa5b0c
15868db80
hex5bade70

96132720 has 80 divisors (see below), whose sum is σ = 299793312. Its totient is φ = 25482240.

The previous prime is 96132713. The next prime is 96132779. The reversal of 96132720 is 2723169.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42334 + ... + 44546.

Almost surely, 296132720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149896656).

96132720 is an abundant number, since it is smaller than the sum of its proper divisors (203660592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96132720 is a wasteful number, since it uses less digits than its factorization.

96132720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 96132720 is about 9804.7294710257. The cubic root of 96132720 is about 458.0966088480.

Adding to 96132720 its reverse (2723169), we get a palindrome (98855889).

The spelling of 96132720 in words is "ninety-six million, one hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1448 1810 2172 2213 2715 2896 3620 4344 4426 5430 6639 7240 8688 8852 10860 11065 13278 14480 17704 21720 22130 26556 33195 35408 43440 44260 53112 66390 88520 106224 132780 177040 265560 400553 531120 801106 1201659 1602212 2002765 2403318 3204424 4005530 4806636 6008295 6408848 8011060 9613272 12016590 16022120 19226544 24033180 32044240 48066360 96132720